Higher-order soliton solutions for the Sasa-Satsuma equation revisited via \(\bar{\partial }\) method. (English) Zbl 1529.35431
Summary: In optics, the Sasa-Satsuma equation can be used to model ultrashort optical pulses. In this paper higher-order soliton solutions for the Sasa-Satsuma equation with zero boundary condition at infinity are analyzed by \(\bar{\partial }\) method. The explicit determinant form of a soliton solution which corresponds to a single \(p_l\)-th order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.
Keywords:
Sasa-Satsuma equation; \( \bar{\partial } \)-problem; higher-order soliton; inverse scattering transform; boundary conditionReferences:
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